Geodesic
Hyperbolic chaos in parametric oscillations of a string
Russian journal of nonlinear dynamics, Tome 9 (2013) no. 1, pp. 3-10

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We outline a possibility of chaotic dynamics associated with a hyperbolic attractor of the Smale–Williams type in mechanical vibrations of a nonhomogeneous string with nonlinear dissipation arising due to parametric excitation of modes at the frequencies $\omega$ and $3\omega$, when the pump is supplied by means of the string tension variations alternately at frequencies of $2\omega$ and $6\omega$.
Keywords: parametric oscillations, string, attractor, Lyapunov exponent.
Mots-clés : chaos 
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Olga B. Isaeva; Alexey S. Kuznetsov; Sergey P. Kuznetsov. Hyperbolic chaos in parametric oscillations of a string. Russian journal of nonlinear dynamics, Tome 9 (2013) no. 1, pp. 3-10. http://geodesic.mathdoc.fr/item/ND_2013_9_1_a0/